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Simplifying 5(a + -7) + 11 = 2 + -3(a + 4) Reorder the terms: 5(-7 + a) + 11 = 2 + -3(a + 4) (-7 * 5 + a * 5) + 11 = 2 + -3(a + 4) (-35 + 5a) + 11 = 2 + -3(a + 4) Reorder the terms: -35 + 11 + 5a = 2 + -3(a + 4) Combine like terms: -35 + 11 = -24 -24 + 5a = 2 + -3(a + 4) Reorder the terms: -24 + 5a = 2 + -3(4 + a) -24 + 5a = 2 + (4 * -3 + a * -3) -24 + 5a = 2 + (-12 + -3a) Combine like terms: 2 + -12 = -10 -24 + 5a = -10 + -3a Solving -24 + 5a = -10 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -24 + 5a + 3a = -10 + -3a + 3a Combine like terms: 5a + 3a = 8a -24 + 8a = -10 + -3a + 3a Combine like terms: -3a + 3a = 0 -24 + 8a = -10 + 0 -24 + 8a = -10 Add '24' to each side of the equation. -24 + 24 + 8a = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 8a = -10 + 24 8a = -10 + 24 Combine like terms: -10 + 24 = 14 8a = 14 Divide each side by '8'. a = 1.75 Simplifying a = 1.75
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